My experience with New York's Senza Gluten was limited.
I arrived before the publicly listed closing time (at 11PM), just before 10PM, however they said their kitchen had already closed and they did not offer any further options for purchasing other food such as bakery items, if they had any.
I have no info on how good or bad their food is but get there for an early bird special and you might just be able to try it yourself!
Location: 206 Sullivan St, New York, NY 10012